{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 7.5. Fitting a probability distribution to data with the maximum likelihood method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy.stats as st\n",
    "import statsmodels.datasets\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = statsmodels.datasets.heart.load_pandas().data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "podoc": {
     "output_text": "Transplant Survival Data"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZuHj5DZHhkDfsuYHCPjieVvDXAuw8f5aX8ctq+077yNtvsXdwY8+Pt3lsdafc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\nVmVyc2lvbgBQREYtMS40IDEgMCBvYmogPDwgnjB4xQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "Transplant Survival Data"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = data[data.censors == 1]\n",
    "survival = data.survival"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "podoc": {
     "output_text": "Survival time"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kpISNC4cePUp08f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      "text/plain": [
       "Survival time"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4))\n",
    "\n",
    "ax1.plot(sorted(survival)[::-1], 'o')\n",
    "ax1.set_xlabel('Patient')\n",
    "ax1.set_ylabel('Survival time (days)')\n",
    "\n",
    "ax2.hist(survival, bins=15)\n",
    "ax2.set_xlabel('Survival time (days)')\n",
    "ax2.set_ylabel('Number of patients')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "smean = survival.mean()\n",
    "rate = 1. / smean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "smax = survival.max()\n",
    "days = np.linspace(0., smax, 1000)\n",
    "# bin size: interval between two\n",
    "# consecutive values in `days`\n",
    "dt = smax / 999."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "dist_exp = st.expon.pdf(days, scale=1. / rate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "podoc": {
     "output_text": "Exponential fit"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Qvcv0GDBjhy5Ai6du2KZ8+eaW3b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CgZkzZ+K7775j05NKpAkTJuDnn38WfZC4vsaNG4e9e/ea7UJu79698csvv6BChQpGj/HGG2/g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\nIiIiIiIiIiIiIiIiqvL+H0DXMltUS2JpAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "Exponential fit"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nbins = 30\n",
    "fig, ax = plt.subplots(1, 1, figsize=(6, 4))\n",
    "ax.hist(survival, nbins)\n",
    "ax.plot(days, dist_exp * len(survival) * smax / nbins,\n",
    "        '-r', lw=3)\n",
    "ax.set_xlabel(\"Survival time (days)\")\n",
    "ax.set_ylabel(\"Number of patients\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1.000, 222.289)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dist = st.expon\n",
    "args = dist.fit(survival)\n",
    "args"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KstestResult(statistic=0.362, pvalue=8.647e-06)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "st.kstest(survival, dist.cdf, args)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KstestResult(statistic=0.188, pvalue=0.073)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dist = st.fatiguelife\n",
    "args = dist.fit(survival)\n",
    "st.kstest(survival, dist.cdf, args)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "podoc": {
     "output_text": "Different fits"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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yE6msTPa8ebLnzJE9Z46slSuT3eExM6qqZM+fL3v+/PpVoU6HDooOG7Y/DB06VMrMTGqfAAAA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\nRKXe/wO3sgLSGDB+NAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "Different fits"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dist_fl = dist.pdf(days, *args)\n",
    "nbins = 30\n",
    "fig, ax = plt.subplots(1, 1, figsize=(6, 4))\n",
    "ax.hist(survival, nbins)\n",
    "ax.plot(days, dist_exp * len(survival) * smax / nbins,\n",
    "        '-r', lw=3, label='exp')\n",
    "ax.plot(days, dist_fl * len(survival) * smax / nbins,\n",
    "        '--g', lw=3, label='BS')\n",
    "ax.set_xlabel(\"Survival time (days)\")\n",
    "ax.set_ylabel(\"Number of patients\")\n",
    "ax.legend()"
   ]
  }
 ],
 "metadata": {},
 "nbformat": 4,
 "nbformat_minor": 2
}
